Please help will mark and 5 stars
What is the fitness Component for Jogging?

To find the Fourier series representation of the periodic function v(t) defined by v(t) = 6(t - 2n)[u(t - 2n) - u(t - 2n - 2)], where n belongs to the natural numbers and v(t) is zero for t < 0, we can use the following steps:

Determine the fundamental period of v(t): In this case, the function v(t) has a period of 2. This means that v(t) repeats itself every 2 units of time.

Express v(t) as an odd periodic function: We can rewrite v(t) as v(t) = 6(t - 2n)[u(t - 2n) - u(t - 2n - 2)] = 6(t - 2n)u(t - 2n) - 6(t - 2n)u(t - 2n - 2). Since u(t) is the unit step function, u(t) - u(-t) is an odd function.

Calculate the Fourier series coefficients: For an odd periodic function, the Fourier series coefficients can be obtained using the formula:

cn = (1/T) * ∫[0 to T] v(t) * sin((2πn/T)t) dt

Since the fundamental period T is 2 in this case, the coefficients can be calculated as:

cn = (1/2) * ∫[0 to 2] v(t) * sin((2πn/2)t) dt

= (1/2) * ∫[0 to 2] v(t) * sin(πnt) dt

We need to evaluate this integral separately for the two terms of v(t).

For the first term, 6(t - 2n)u(t - 2n), the integral will be non-zero only when t is in the range [2n, 2n + 2]. Thus, the integral can be written as:

cn1 = (1/2) * ∫[2n to 2n+2] 6(t - 2n) * sin(πnt) dt

Similarly, for the second term, 6(t - 2n)u(t - 2n - 2), the integral will be non-zero only when t is in the range [2n+2, 2n + 4]. Thus, the integral can be written as:

cn2 = (1/2) * ∫[2n+2 to 2n+4] 6(t - 2n) * sin(πnt) dt

Finally, the Fourier series representation of v(t) can be written as:

v(t) = ∑[n = -∞ to +∞] (cn1 - cn2) * sin(πnt)

Note that the actual calculations of the Fourier series coefficients require evaluating the integrals, which may result in specific values depending on the value of n.

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Answer:In physics, motion is defined as a change in the position of a body with respect to a reference point. ... Think about the motion of three cars: one in the fast-moving carpool lane, another in the middle lane, and the third in the slow lane used to enter or exit the freeway.

Explanation:

The better predictor of increase in force of contraction, change in semg amplitude of spikes.

A force in physics is an effect that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given that in the question the  better predictor of increase in force of contraction, change in semg amplitude of spikes or change in semg frequency of spikes.

The better predictor of increase in force of contraction, change in semg amplitude of spikes.

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Answer:

Increase is energy transferred

Explanation:

Option B is correct

The maximum value of a short circuit current from line-to-neutral grounded will depend on various factors such as the voltage level of the electrical system.

The impedance of the circuit, the available fault current, and the protective devices that are in place to limit the current.In a typical residential or commercial electrical system in the United States, the maximum short circuit current from line-to-neutral grounded is typically around 10,000 to 20,000 amps for a 120/240 volt system. However, in larger industrial or utility systems with higher voltage levels, the short circuit current can be much higher and can exceed several hundred thousand amps.It is important to note that short circuit currents can cause significant damage to electrical equipment and can pose a serious safety hazard to people who come into contact with the electrical system.

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Hello,

Assuming that the initial velocity of the jumper is zero, on Earth any freely falling object has an acceleration of 9.8 m/s².  

✔ We have : a = v/Δt = ⇔ Δt = v/a

If a cliff jumper leaps off the edge of a 100 m cliff , then she would have fallen 4.51 seconds before hitting the water.

There are three equations of motion given by  Newton,

v = u + at

S = ut + 1/2 × a × t²

v² - u² = 2 × a × s

As given in the problem If a cliff jumper leaps off the edge of a 100 m cliff, then we have to find out how long she falls before hitting the water.

By using the second equation of the motion,

S = ut + 1/2 × a × t²

100  = 0 + 0.5 × 9.8 × t²

t²  = 100 / 4.9

t = 4.51 seconds

Thus, If a cliff jumper leaps off the edge of a 100 m cliff, then she would have fallen 4.51 seconds before hitting the water.

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In the late 19th century, studies of spectral lines and certain other phenomena were conducted, which helped in the development of quantum mechanics. The Bohr Model of the atom was the first atomic model to describe the atom's internal structure. It became clear, however, that the Bohr model was only successful for atoms with one electron, such as hydrogen. Atoms with more than one electron were more difficult to explain with this model.

Therefore, it became necessary to come up with a new model of the atom that could explain atoms with more than one electron. The quantum-mechanical model of the atom became necessary to overcome the limitations of the classical physics. According to classical mechanics, electrons should release electromagnetic radiation as they move in their orbits, which causes their orbit to collapse and the electrons to spiral into the nucleus. This theory was unable to explain the stability of atoms with more than one electron. As a result, the quantum-mechanical model of the atom was developed to overcome this limitation. The quantum-mechanical model is a model of the atom that combines quantum mechanics with classical mechanics.

In the quantum-mechanical model of the atom, electrons are not assumed to move in specific orbits. Rather, they move in orbitals, which are regions of probability where electrons are likely to be found. The quantum-mechanical model is a more accurate representation of the behavior of electrons in atoms. This is because it takes into account the wave-like properties of electrons, which classical mechanics does not. The quantum-mechanical model of the atom is essential for our understanding of chemical bonding. Chemical bonding is the process by which atoms combine to form molecules. The properties of a molecule depend on the arrangement of its atoms and the arrangement of electrons around the atoms.

The quantum-mechanical model allows us to predict the arrangement of electrons in molecules, which is essential for understanding chemical bonding. In conclusion, the quantum-mechanical model of the atom became necessary because the classical mechanics were unable to explain the behavior of electrons in atoms with more than one electron. The quantum-mechanical model is more accurate than the classical mechanics and has become essential to our understanding of chemical bonding.

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Answer:

Explanation:

3.011 x 10^24 atoms

Answer:

jskskskssksksksskssksksksksks

The gas that will condense at the lowest pressure is Ethane.

The given gases;

At constant temperature, condensation will occur at the lowest pressure for the gas with the strongest intermolecular force or interactions.

Thus, the gas that will condense at the lowest pressure is Ethane.

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Explanation:

As you can see in the picture, we want the swimmer to go on a straight line, so the speed of the water must be equal to the speed of the swimmer along the x-axis. We also know the value of v, so we can calculate the of the cosine of the angle (alpha) between Vx and V. Thanks to the fundamental relation of gioniometry (cos^2(x) + sin^2(x) = 1) we can find the sine of alpha and calculate Vy. With Vy we can calculate the time that the swimmer will use for reaching the dock: s = Vy * t => t = s/(Vy).

I'll let you do all the calculations, you just have to plug in values.

a)The direction that she must aim herself through the water to arrive at the dock will be 73.7°.

b)The time it takes for the swimmer to cross the river will be 240 seconds.

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its si unit is m/sec.

Given data;

The maximum speed of the swimmer In still water,v=1.25m/s.

Speed of river = 0.35m/s [E]

α is the direction that she must aim herself through the water to arrive at the dock.

t is the time it takes for the swimmer to cross the river

The distance from the starting point to the dock is,s = 300 m

If the swimmer were to swim straight, the water's speed along the x-axis would have to match that of the swimmer.

\(\rm v_w = v_x = 0.35 \ m/sec\)

α is the angle between vx and v

The value of the

\(\rm cos \alpha = \frac{v_x}{v} \\\\ \alpha = cos ^{-1}(\frac{0.35}{1.25} )\\\\ \alpha = 73.7 ^0\)

The time that the swimmer will use for reaching the dock;

s = V×t

t = s/(v)

t=300 m / 1.25 m/sec

t = 240 seconds

Hence, the direction that she must aim herself through the water to arrive at the dock. and it takes for the swimmer to cross the river will be 73.7° and 240 seconds respectively.

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The spring constant (k) can be calculated using the equation k=F/x, where F is the force and x is the compression of the spring.

Spring constant, also known as rate, is a measure of the amount of force needed to extend or compress a spring by a certain distance. The spring constant is defined as the ratio of the force applied to the spring, divided by the displacement of the spring. To calculate the spring constant, the force applied to the spring is divided by the displacement of the spring. The units of the spring constant are Newton per meter (N/m). The spring constant can be used to calculate the amount of force exerted by a spring when it is compressed or stretched. For example, when a spring with a spring constant of 5 N/m is stretched by 1 meter, it will exert a force of 5 Newtons.

In this case, F is equal to the kinetic energy (14,000J) and x is equal to the compression (0.15m). Therefore, the spring constant is equal to 14,000J/0.15m = 93,333N/m.

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The spring constant (k) can be calculated using the equation k = F/x, where F is the force and x is the compression of the spring. 93,333 N/m is the spring constant for the spring.

Spring constant, also known as rate, is a measure of the amount of force needed to extend or compress a spring by a certain distance. The spring constant is defined as the ratio of the force applied to the spring, divided by the displacement of the spring. To calculate the spring constant, the force applied to the spring is divided by the displacement of the spring. The units of the spring constant are Newton per meter (N/m). The spring constant can be used to calculate the amount of force exerted by a spring when it is compressed or stretched. For example, when a spring with a spring constant of 5 N/m is stretched by 1 meter, it will exert a force of 5 Newtons.

In this case, F is equal to the kinetic energy (14,000J) and x is equal to the compression (0.15m).

Therefore, the spring constant is equal to 14,000J / 0.15m

Spring constant = 93,333 N/m.

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Answer:

Decreasing the angle to 10

Explanation:

Edge 2020

Answer:

Difference : Balloon framing go through from foundation to top floor while Platform do not

advantages and disadvantages

Balloon framing : It has less vertical shrinkage  ( disadvantage )

platform framing : It has more vertical shrinkage and fire stops ( advantage )

platform framing : It is easier and safer to use

Reason for platform framing :

Due to these advantages Platform framing has become a better choice

Little added fire stopping is required in platform framing because of double tap plate present which can act as as a fire stop

Steel beam/ glue laminated wood beam is preferred at foundation level because wood beam under the ground will most likely shrink over time

Explanation:

Differences : Balloon framing a form of building houses using a special kind of timber construction its studs start from the foundation and go to all the way to the last floor while in Platform framing the studs are interrupted by floor platforms ( i.e. they do not go through like in Balloon framing )

advantages and disadvantages

Balloon framing : It has less vertical shrinkage  ( disadvantage )

platform framing : It has more vertical shrinkage and fire stops ( advantage )

platform framing : It is easier and safer to use

Reason for platform framing :

Due to these advantages Platform framing has become a better choice

Little added fire stopping is required in platform framing because of double tap plate present which can act as as a fire stop

Steel beam/ glue laminated wood beam is preferred at foundation level because wood beam under the ground will most likely shrink over time

The estimated error rate for spherical volume measurements is 0.694%.Percent error is the difference between the estimated value and the actual value compared to the actual value, expressed as a percentage. So the percent error is the relative error multiplied by 100.

To calculate the Percent error

Subtract the actual value from the estimated value

Divide the result from step 1 by the actual value

to get the total percentage Multiply the result by 100

Formula,

Error Rate = ((Estimated Number – Actual Number)/Actual Number) x 100

from the given data

V=(4/3)πr3

=337.53cm³    

so

((339.87-337.53)/337.53)x100

=0.694

So from the given data and substituting that data in the formula , the percentage error to estimate the measurement of the volume of the sphere is 0.694%.

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Answer:

\( \boxed { \tt{gravitational \: pull(force)}}\)

\( \boxed{ \mathrm{Kinetic \: Energy = \frac{1}{2} m {v}^{2} }}\)

_____________________________

\(\mathrm{ \#TeeNForeveR}\)

The relation among energy ,density,strain and stress is that Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation.

This is a term which is referred to as the mass per unit volume of a substance.

We should note that he strain energy per unit volume is known as strain energy density and the the area under the stress-strain means that deformation will occur if the object is continually subjected to the force.

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Answer:

A team may contact the ball a total of three (3) times before it is sent over the net.

Answer:

answer is 2 ms-2

Explanation:

v= 10.0 m/s

u=4.0 m/s

t=3.0 seconds

a=?

from equation, v= u+at

10.0 m/s =4.0 m/s + a × 3s

6 m/s. = 3a

6/3 = a

2.0 m/s-2 = a

We have that the velocity of the ball when it hits the glass.Using the appropriate significant figures is

V=4.43ft/s

From the question we are told that

Generally the equation for the Velocity  is mathematically given as

\(V^2=2as\\\\Therefore\\\\V=\sqrt{2*9.8*1}\\\\V=4.43ft/s\)

Therefore

the velocity of the ball when it hits the glass.Using the appropriate significant figures is

V=4.43ft/s

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When describing an experience on a fast roller coaster, it is essential to focus on the different aspects of the ride that makes it thrilling, exciting, and memorable.

1. Start by explaining the roller coaster's design, emphasizing its height and speed.2. Describe the sensation of climbing the first hill and looking down from the top.3. Talk about the initial drop and the feeling of falling and weightlessness.4. Focus on the different elements that make the ride thrilling, such as loops, corkscrews, and twists.5. Highlight the acceleration and deceleration forces that create excitement.6. Mention the wind rushing through the rider's hair and the screams of excitement from fellow riders.7. Emphasize the adrenaline rush and the overall feeling of excitement and thrill that the ride provides.

Long Answer:When I was in Orlando, I went to Universal Studios to visit the park's attractions. The roller coaster named "The Incredible Hulk Coaster" caught my attention. This ride was one of the most amazing and thrilling experiences I have ever had. The roller coaster is a bright green color, and its height and speed can be seen from far away. As I approached the coaster, my heart began to race. The coaster's height was impressive, and I couldn't wait to get on the ride. I finally got on the coaster, and the safety bar locked me in. I was nervous but excited.The coaster began to climb the first hill, which seemed to be the highest hill I had ever seen. At the top, the view was incredible; I could see the whole park. Then came the big drop. The coaster plunged down, and I felt a sensation of falling. It was like I was weightless for a moment. It was a thrilling and unforgettable feeling. Then came the loops and corkscrews, which were dizzying but so much fun. The coaster's acceleration and deceleration forces made the ride more exciting and added to the overall experience. The wind was rushing through my hair, and I could hear the screams of excitement from other riders. The ride lasted for a few minutes, but it felt like it was over in seconds. The feeling of excitement and thrill stayed with me for the rest of the day. It was an incredible experience that I will never forget.

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Answer:

El coeficiente de roce estático entre las dos superficies es 0.131.

Explanation:

El coeficiente de roce estático entre dos superficies (\(\mu_{s}\)), sin unidad, es igual a la fuerza de resistencia (\(F\)), en newtons, dividida por el peso del cuerpo a mover (\(W\)), en newtons.

\(\mu = \frac{F}{m\cdot g}\) (1)

Donde:

\(m\) - Masa, en kilogramos.

\(g\) - Aceleración gravitacional, en metros por segundo al cuadrado.

Si sabemos que \(F = 45\,N\), \(m = 35\,kg\) y \(g = 9.807\,\frac{m}{s^{2}}\), entonces el coeficiente de roce estático es:

\(\mu = \frac{45\,N}{(35\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}\)

\(\mu = 0.131\)

El coeficiente de roce estático entre las dos superficies es 0.131.

The potter's tool used to create a piece of thrown pottery is the potter's wheel.

In pottery making, a variety of tools are used to shape and create pottery. One of the most important tools is the potter's wheel. The potter's wheel is a rotating platform that allows the potter to shape the clay into various forms. It consists of a circular disc that spins on a central axis. The potter places a lump of clay on the wheel and uses their hands to shape it as it spins.

The potter's wheel provides a stable and controlled surface for the potter to work on. It allows them to easily shape the clay and create symmetrical forms. By applying pressure and manipulating the clay with their hands, the potter can create bowls, vases, plates, and other pottery pieces.

Other tools used in pottery making include the potter's kiln, which is used to fire the pottery and harden it. The kiln reaches high temperatures, causing the clay to undergo chemical changes and become durable. Additionally, potters use various hand tools such as clay modeling tools, carving tools, and brushes to add details and texture to the pottery.

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Answer:ture

Explanation:

Answer:

1). Average speed = 1.5 m per second

2). Average velocity = 1.5 m per second

Explanation:

1). Since, speed is a scalar quantity

   Therefore, average speed of the trip = \(\frac{\text{Total distance covered}}{\text{Total time taken}}\)

    From the graph attached,

   Total distance covered = 10 + 10 + 20 + 0 + 20 + 30

                                           = 90 meters

   Total time taken = 60 seconds

    Average speed = \(\frac{90}{60}\)

                               = 1.5 meter per second

2). Velocity is a vector quantity.

    Therefore, average velocity = \(\frac{\triangle d}{\triangle t}\)

                                                   = \(\frac{d_{60}-d_0}{60-0}\)

                                                   = \(\frac{90-0}{60-0}\)

                                                   = 1.5 meter per second                        

To increase the boiling temperature of 2051 g of water by 1.500 °C, approximately 3.431 grams of NaCl would need to be added.

The boiling point elevation is determined by the molality of the solute in the solution. The equation for boiling point elevation is:

ΔTb = Kb * m

Where:

ΔTb is the boiling point elevation,

Kb is the boiling point elevation constant for water (0.5100 °C/m),

m is the molality of the solute.

To calculate the molality, we can use the formula:

m = (moles of solute) / (mass of solvent in kg)

Given that we want to increase the boiling temperature by 1.500 °C, and the Kb value is 0.5100 °C/m, we can rearrange the equation to solve for the molality:

m = ΔTb / Kb

m = 1.500 °C / 0.5100 °C/m

m ≈ 2.941 m

To convert molality to mass, we need to know the molecular weight of NaCl. The molecular weight of NaCl is approximately 58.44 g/mol.

Using the formula:

mass of solute = molality * molecular weight of solute * mass of solvent in kg

mass of solute = 2.941 m * 58.44 g/mol * 2.051 kg

mass of solute ≈ 3.431 g

Therefore, approximately 3.431 grams of NaCl would need to be added to 2051 g of water to increase the boiling temperature of the solution by 1.500 °C.

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The first gear set (12-72) provides a speed increase of 6, and the second gear set (8-64) further increases the speed by a factor of 8, resulting in an overall speed increase of 48.

To design a compounded reverted gear train as a step-up gear with a speed increase of 48 times while minimizing the gearbox size and avoiding interference problems, we need to carefully select the numbers of teeth for the gears.

The compounded reverted gear train consists of two sets of gears: the first set is the compound gear train, and the second set is the reverted gear train. The compound gear train is used to achieve a moderate speed increase, and the reverted gear train further amplifies the speed.

To determine suitable numbers of teeth, we can start by considering the speed increase ratio of 48. This ratio can be achieved by breaking it down into smaller ratios for the compound and reverted gear sets. For example, we can choose a speed increase ratio of 6 in the compound gear train and a ratio of 8 in the reverted gear train.

Next, we need to select suitable numbers of teeth for each gear to avoid interference problems and ensure smooth operation. To minimize gearbox size, we aim to keep the gears as small as possible. One approach is to use gears with a small number of teeth, which can help reduce their size.

For the compound gear train, we can select gears with, for example, 12 and 72 teeth. This gives a speed increase ratio of 6. For the reverted gear train, we can choose gears with 8 and 64 teeth, resulting in a speed increase ratio of 8.

The sketch of the designed compounded reverted gear system would show the gear positions and their numbers of teeth as follows:

     ----    12 teeth    ----

   /                              \

--- 72 teeth 8 teeth ---

\ /

      ---- 64 teeth ----

In this configuration, the first gear set (12-72) provides a speed increase of 6, and the second gear set (8-64) further increases the speed by a factor of 8, resulting in an overall speed increase of 48. By carefully selecting the numbers of teeth and the gear ratios, we can achieve the desired speed increase while minimizing the size of the gearbox and avoiding interference problems between the gear teeth.

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A fighter jet being launched from such an aircraft carrier using a steam-powered catapult and its own engines. Its engines produce 2.3 x 105 N of thrust.

What speed is reached when a jet fighter aircraft is fired from a slingshot on an aircraft carrier?

42 m/s On an aircraft carrier, a catapult is used to launch a jet fighter. Just at end of the sling, it takes 2 seconds to achieve velocity of 42 m/s. What is the catapult's length if the acceleration is constant?

How strong is the aircraft carrier's catapult?

Catapults A 48,000-pound aeroplane was launched 300 feet and increased in speed from 0 to 165 miles an hour in two seconds by four steam-powered catapults. On every

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Answer:

the velocity of a ball at highest point is 8.5m/s

Explanation:

: The Freefall Problem

Xue,is standing on the roof of a building. Emily is standing below and tosses a ball straight upwards to Xue. It travels up past

Xue, comes back down and Xue reaches out and catches it. Xue catches the ball 6.0 m above Emily’s hands. The ball was

travelling at 12.0 m/s upwards the moment it left Emily’s hand. We would like to know how much time this trip takes.

1. Represent. Complete part A below. Indicate the y-origin for position measurements and draw a sign convention where

upwards is positive. Label the important events.

2. Represent. Complete part C below. Make sure the two graphs line-up vertically. Draw a single dotted vertical line

through the graphs indicating the moment when the ball is at its highest.

A: Pictorial Representation

Sketch, coordinate system, label givens, conversions, describe events

Event 1:

Event 2:

Event 3:

C: Physics Representation

Motion diagram, motion graphs, key events

The total length of the path traveled by an object is the distance. The change in position, from one event to another is the

displacement. Distance is a scalar quantity and displacement is a vector quantity.

3. Reason. Explain why this in this example it is relatively easy to find the displacement, but harder to find the distance.

4. Reason. The BIG 5 equations are valid for any interval of motion where the acceleration is uniform. Does the ball

accelerate uniformly during events 1 and 3? Explain D: Mathematical Representation

Describe steps, complete equations, substitutions with final statement isThere are multiple ways of solving…one

will require the use of the quadratic formula.

The other way will take additional steps.

x = -b+-under root b^2-4ac/2a